Atkin-Lehner |
2- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
4450k |
Isogeny class |
Conductor |
4450 |
Conductor |
∏ cp |
75 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
4574461500620800 = 215 · 52 · 895 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 2 -1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-56528,-4044879] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:143:1] |
Generators of the group modulo torsion |
j |
799052001908021545/182978460024832 |
j-invariant |
L |
4.3575558805063 |
L(r)(E,1)/r! |
Ω |
0.31471885958593 |
Real period |
R |
4.6152894324367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
35600x1 40050g1 4450f2 |
Quadratic twists by: -4 -3 5 |